Find the equation of the line that is perpendicular to Y=6x+3 and passes through the point (-24,5)
1 answer:
The slope of the given line is the coefficient of x, 6. The slope of the perpendicular line will be the negative reciprocal of that, -1/6. Then the point-slope form of the equation of the line is
y = m(x -h) +k . . . . . . line with slope m through point (h, k)
You want m=-1/6, (h, k) = (-24, 5), so your equation is
y = (-1/6)(x +24) +5
y = (-1/6)x +1
y = m(x -h) +k . . . . . . line with slope m through point (h, k)
You want m=-1/6, (h, k) = (-24, 5), so your equation is
y = (-1/6)(x +24) +5
y = (-1/6)x +1
You might be interested in
Answer:
13 units
Step-by-step explanation:
Use the distance formula, d = , where (x2, y2) and (x1, y1) are two different points on the line.
Plug in the values:
d =
d =
d =
d =
d =
d = 13
Answer:
The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.7291
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have . So
The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.